Percolation I

The Fractal Geometry of Nature.

1984 • 15,007 citations

Scaling concepts in polymer physics

1981 • 10,468 citations

Introduction to Percolation Theory

1985 • 3,764 citations

Fractals

1988 • 3,367 citations

Scaling theory of percolation clusters

1979 • 2,306 citations

Modern Theory of Critical Phenomena

1977 • 1,922 citations

Percolation processes

1957 • 1,900 citations

Theory of Molecular Size Distribution and Gel Formation in Branched-Chain Polymers

1943 • 1,830 citations

Percolation and cluster distribution. I. Cluster multiple labeling technique and critical concentration algorithm

1976 • 1,821 citations

Phase transitions and critical phenomena

1975 • 1,798 citations

Molecular Size Distribution in Three Dimensional Polymers. I. Gelation¹

1941 • 1,795 citations

The Dimensions of Chain Molecules Containing Branches and Rings

1949 • 1,740 citations

Diffusion in disordered media

1987 • 1,726 citations

Fractal Growth Phenomena

1989 • 1,642 citations

The Physics of Amorphous Solids

1983 • 1,570 citations

Invasion percolation: a new form of percolation theory

1983 • 1,384 citations

Fractals, form, chance and dimension

1978 • 1,259 citations

Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability

1963 • 1,043 citations

Percolation theory

1980 • 949 citations

Gelation and critical phenomena

2007 • 906 citations

The theory of condensation and the critical point

1967 • 784 citations

Directions in Condensed Matter Physics

1986 • 736 citations

Percolation Theory for Mathematicians

1982 • 575 citations

A relation between the temperature exponents of the eight-vertex and q-state Potts model

1979 • 517 citations

Canadian Journal of Forest Research

1991 • 475 citations

Exact Determination of the Percolation Hull Exponent in Two Dimensions

1987 • 471 citations

Capillary displacement and percolation in porous media

1982 • 466 citations

Percolation

1989 • 459 citations

Large-cell Monte Carlo renormalization group for percolation

1980 • 454 citations

Critical Behavior of Branched Polymers and the Lee-Yang Edge Singularity

1981 • 440 citations

Cluster shapes at the percolation threshold: and effective cluster dimensionality and its connection with critical-point exponents

1977 • 419 citations

Cluster size and boundary distribution near percolation threshold

1976 • 391 citations

Solvable Fractal Family, and Its Possible Relation to the Backbone at Percolation

1981 • 387 citations

Anomalous voltage distribution of random resistor networks and a new model for the backbone at the percolation threshold

1985 • 375 citations

Thermal Phase Transition of the Dilute<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>s</mml:mi></mml:math>-State Potts and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>n</mml:mi></mml:math>-Vector Models at the Percolation Threshold

1981 • 362 citations

Geometrical cluster growth models and kinetic gelation

1986 • 354 citations

Invasion Percolation in an Etched Network: Measurement of a Fractal Dimension

1985 • 332 citations

Cluster structure near the percolation threshold

1982 • 329 citations

The fractal nature of a diffusion front and the relation to percolation

1985 • 328 citations

Principles of Polymer Chemistry

1995 • 303 citations

Backbone and elastic backbone of percolation clusters obtained by the new method of 'burning'

1984 • 295 citations

Analytical calculation of two leading exponents of the dilute Potts model

1982 • 243 citations

Order propagation near the percolation threshold

1981 • 225 citations

Epidemic models and percolation

1985 • 215 citations

Percolation Phenomena in Higher Dimensions: Approach to the Mean-Field Limit

1976 • 202 citations

Crystal statistics with long-range forces: I. The equivalent neighbour model

1966 • 199 citations

The efficient determination of the percolation threshold by a frontier-generating walk in a gradient

1986 • 191 citations

Building Blocks of Percolation Clusters: Volatile Fractals

1984 • 187 citations

Critically branched chains and percolation clusters

1980 • 182 citations

Dispersed ionic conductors and percolation theory

1985 • 178 citations

Topological properties of percolation clusters

1984 • 175 citations

Dynamics of Invasion Percolation

1988 • 174 citations

Directed percolation in 2+1 dimensions

1989 • 173 citations

Numerical Methods in the Study of Critical Phenomena

1981 • 165 citations

The fractal dimension of the minimum path in two- and three-dimensional percolation

1988 • 137 citations

New Universality Class for Kinetic Gelation

1982 • 137 citations

Application of fractal concepts to polymer statistics and to anomalous transport in randomly porous media

1984 • 126 citations

Test of scaling exponents for percolation-cluster perimeters

1986 • 125 citations

Percolation processes in d-dimensions

1976 • 124 citations

On two-dimensional directed percolation

1988 • 119 citations

Topological properties of diffusion limited aggregation and cluster-cluster aggregation

1984 • 113 citations

Generation of percolation cluster perimeters by a random walk

1984 • 113 citations

Perspectives from the theory of phase transitions

1974 • 112 citations

Forest fires as critical phenomena

1984 • 110 citations

Analysis of extended series for bond percolation on the directed square lattice

1986 • 108 citations

Monte Carlo renormalisation-group approach to percolation on a continuum: test of universality

1981 • 106 citations

A new kinetic walk and percolation perimeters

1985 • 103 citations

Accessible external perimeters of percolation clusters

1987 • 98 citations

Physical Properties of a New Fractal Model of Percolation Clusters

1984 • 97 citations

Intermittency pattern of fluctuations in nuclear multifragmentation

1990 • 89 citations

Percolation of holes between overlapping spheres : Monte Carlo calculation of the critical volume fraction

1981 • 89 citations

Universality Classes for Spreading Phenomena: A New Model with Fixed Static but Continuously Tunable Kinetic Exponents

1985 • 83 citations

On the spreading of two-dimensional percolation

1985 • 73 citations

Percolation model for mixed alkali effects in solid ionic conductors

1986 • 62 citations

Exact enumeration approach to fractal properties of the percolation backbone and 1/σ expansion

1983 • 59 citations

Directed and diode percolation

1982 • 58 citations

Monte Carlo study of the percolating cluster for the square lattice site problem

1980 • 53 citations

The chemical distance distribution in percolation clusters

1985 • 47 citations

Self-organized criticality: Goldstone modes and their interactions

1990 • 46 citations

Percolation theory at the critical dimension

1978 • 45 citations

Scaling behavior of percolation surfaces in three dimensions

1991 • 45 citations

Distributions and moments of structural properties for percolation clusters

1988 • 45 citations

Mean number of clusters for percolation processes in two dimensions

1976 • 41 citations

Spreading of percolation in three and four dimensions

1986 • 36 citations

Correlations and connectivity : geometric aspects of physics, chemistry, and biology

1990 • 35 citations

Percolation clusters

1980 • 34 citations

First passage percolation: Scaling and critical exponents

1984 • 32 citations

Spanning lengths of percolation clusters

1978 • 31 citations

Structural granularity and ionic conduction mechanism in glass

1990 • 27 citations

Physics on fractal structures

2007 • 24 citations

Universal substructures of percolation clusters: the skeleton

1984 • 22 citations

The Hamiltonian spectrum of directed percolation

1990 • 18 citations

Derivation of series expansions for a study of percolation processes

1986 • 18 citations

Growth Shapes and Directed Percolation

1990 • 18 citations

Shortest paths in percolation

1985 • 15 citations

New mechanism for mass gap scaling and transfer-matrix study for (1+1)D directed percolation

1990 • 13 citations

On the relation of kinetic gelation and percolation

1986 • 12 citations

Dynamical phase transitions in cluster growth processes where growth sites have a finite lifetime

1988 • 10 citations

Probability distribution for percolation clusters generated on a cayley tree at criticality

1987 • 9 citations